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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 44, Fasc. 1,
pages 29 - 50
DOI: 10.37190/0208-4147.00163
Published online 2.7.2024
 

On the asymptotic distribution of the maxima from Gaussian functions subject to missing observations

Shengchao Zheng
Zhongquan Tan

Abstract:

In this paper, we derive the asymptotic distributions for the maxima of two types of Gaussian functions, including a χ-random sequence and a Gaussian order statistics sequence subject to missing observations, where the Gaussian functions are generated by stationary Gaussian sequences with covariance functions rn satisfying rn log n → γ ∈[0,∞) as n →∞.

2010 AMS Mathematics Subject Classification: Primary 60G70; Secondary 60G15.

Keywords and phrases: random missing, maximum, stationary Gaussian sequence, χ-random sequence, Gaussian order statistics sequence.

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